Question

the figure shows a line intersecting two parallel lines. what is the value of x?

Explanation:

Step1: Identify angle - relationship

When a line intersects two parallel lines, corresponding angles are equal. Here, $x$ and the $114^{\circ}$ angle are corresponding angles.

Step2: Determine the value of $x$

Since corresponding angles are equal, $x = 114$.

Answer:

$114$